A converging algorithm for a linear exchange model
Article Abstract:
An analysis of a linear exchange model with utilities functions is presented. The analysis assumes fixed supplies and allows the development of an algorithm of involving cutting planes. Elementary proof of the revealed preference inequality is considered. It is shown that the model assimilates an infinite system of linear inequalities. In addition, the Arrow-Debreu model is shown to exhibit the same property for linear utility functions.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1993
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Recursive utility and optimal growth under certainty
Article Abstract:
The optimal growth theory is discussed under conditions of uncertainty and applied to a group of recursive utility functions. In the process, the monotonic qualities of the optimality functions come into play and prove to be an important element in the development of turnpike theory. Likewise, productive resources and other non-fixed factors are considered and assumed to vary with time.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1995
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